Quasinilpotent operators and the invariant subspace problem

被引：42

作者：

Read, CJ ^{[1
]}

机构：

[1] Univ Cambridge Trinity Coll, Cambridge CB2 1TQ, England

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 1997年 / 56卷

关键词：

D O I：

10.1112/S0024610797005486

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we construct quasinilpotent operators without nontrivial invariant subspaces. As well as being interesting in its own right, we believe that this is a sensible (perhaps necessary) first step for addressing the difficult problem of constructing topologically simple Banach algebras.

引用

页码：595 / 606

页数：12

共 9 条

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[8]

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[9]

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